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Finding the Third Proportional to 67,670 and 96,177

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Solution

The third proportional to 67,670 and 96,177 is: 136,693.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,670 : 96,177 = 96,177 : x
  2. Step 2: Convert to fraction form
    67,670/96,177 = 96,177/x
  3. Step 3: Cross multiply
    67,670x = 96,177 × 96,177
  4. Step 4: Simplify right side
    67,670x = 9,250,015,329
  5. Step 5: Solve for x
    x = 9,250,015,329/67,670
  6. Step 6: Final answer
    x = 136,693.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.